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Simplifying 0.5(12n + -2) = 5n + -7 Reorder the terms: 0.5(-2 + 12n) = 5n + -7 (-2 * 0.5 + 12n * 0.5) = 5n + -7 (-1 + 6n) = 5n + -7 Reorder the terms: -1 + 6n = -7 + 5n Solving -1 + 6n = -7 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -1 + 6n + -5n = -7 + 5n + -5n Combine like terms: 6n + -5n = 1n -1 + 1n = -7 + 5n + -5n Combine like terms: 5n + -5n = 0 -1 + 1n = -7 + 0 -1 + 1n = -7 Add '1' to each side of the equation. -1 + 1 + 1n = -7 + 1 Combine like terms: -1 + 1 = 0 0 + 1n = -7 + 1 1n = -7 + 1 Combine like terms: -7 + 1 = -6 1n = -6 Divide each side by '1'. n = -6 Simplifying n = -6
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